JEE Advanced Mix Test 75

Result

JEE Advanced Mix Test 75

Score
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out of -
Rank
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out of -

TIME Taken - -

Weekly Quiz Competition

Question 1
4 / -1

A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height h from the bottom, the particle will leave the sphere

A
14 m

B
16 m

C
35 m

D
70 m
Question 2
4 / -1

A source is moving on a circle of radius 3 m with constant angular velocity ω = 5 rad/s. If the observer is at a distance 5 m from the centre of circle, the time interval between maximum and minimum frequency received by the observer is

A
π/5

B

C

D

Solution
Question 3
4 / -1

In the cyclic process 1-2-3-4 shown in figure for a monoatomic gas, thevolume of the gas in process 1.

A
increases

B
decreases

C
constant

D
first increases then decreases

Solution

In a P-V diagram clockwise cyclic process means positive work is done. Here, with non zero anti clockwise area negative work is being done.

W = P∆V

∆V is negative, since, P is positive.

So, the volume decreases.
Question 4
4 / -1

A capacitor is charged to a potential of V₀. It is connected with an inductor through a switch S. The switch is closed at time t = 0. Which of the following statement is correct.

A
maximum current in the circuit is

B
potential across capacitor becomes zero for the first time at

C
energy stored in the inductor at time

D
maximum energy stored in the inductor is
Question 5
4 / -1

Potash alum contains the metals like potassium and aluminium. What are the metal ions present in chrome alum?

A
Chromium and aluminium only

B
Iron and aluminium

C
Potassium and chromium only

D
Potassium, chromium and aluminium

Solution
Question 6
4 / -1

For a gaseous reaction, the rate of reaction is expressed in terms of dp/dt instead of dc/dt or dn/dt where C is concentration and n is the number of moles. Hence, the relation between expression is:

A

B

C

D
none of these

Solution
Question 7
4 / -1

An excited electron of H-atoms emits of photon of wavelength λ and returns in the ground state, the principal quantum number of excited state is given by:

A

B

C

D

Solution
Question 8
4 / -1

where [.] denotes the greatest integer function. The value of S is

A
69/7

B
206/21

C
76/7

D
227/21

Solution
Question 9
4 / -1

Minimum value of function f (x) = x³ (x³ +1)(x³ + 2)(x³ + 3) : x ∈ R, is

A
-2

B
-1

C
1

D
none
Question 10
4 / -1

The hands of a clock has lengths 3 & 4 units. The distance between their tips when the distanceis increasing most rapidly is

A
2

B
√7

C
√3

D
5